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Networked ${H}_{\infty }$ filtering for linear discrete-time systems. (English) Zbl 1205.93096
Summary: This paper studies the problem of networked ${H}_{\infty }$ filtering for linear discrete-time systems. A new model is proposed as the filtering error system to simultaneously capture the communication constraint, random packet dropout and quantization effects in the networked systems. A sufficient condition is presented for the filtering error system to be mean square exponentially stable with a prescribed ${H}_{\infty }$ performance by employing the multiple Lyapunov function method. The obtained condition depends on some parameters of the networked systems, such as the access sequence of nodes, packet dropout rate and quantization density. With these parameters fixed, a design procedure for the desired ${H}_{\infty }$ filter is also presented based on the derived condition. Finally, an illustrative example is utilized to show the effectiveness of the proposed method.
##### MSC:
 93C55 Discrete-time control systems 93C05 Linear control systems 93E11 Filtering in stochastic control
##### References:
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